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Finding the Fourth Proportional to 4,644.91, 6,409.65 and 2,656.18

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Solution

The fourth proportional to 4,644.91, 6,409.65 and 2,656.18 is: 3,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.91 : 6,409.65 = 2,656.18 : x
  2. Step 2: Convert to fraction form
    4,644.91/6,409.65 = 2,656.18/x
  3. Step 3: Cross multiply
    4,644.91x = 6,409.65 × 2,656.18
  4. Step 4: Simplify right side
    4,644.91x = 17,025,184.14
  5. Step 5: Solve for x
    x = 17,025,184.14/4,644.91
  6. Step 6: Final answer
    x = 3,665.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.